Set Events:
T=tests positive~T=tests negativeP=subject is pregnant~P=subject is not pregnant
We are givenP(T n ~P)=0.02P(~T n P)=0.03P(P)=0.7
recall by definition of conditional probabilityP(A|B)=P(A n B)/P(B)
Need to find P(P|~T)
First step: make a contingency diagram of probabilities (intersection, n)
P ~P sum
T 0.67 0.02 0.69=P(T)
~T 0.03 0.28 0.31=P(~T)
sum 0.70 0.30 1.00
=P(P) =P(~P)
therefore
P(P|~T)=P(P n ~T)/P(~T)=0.03/0.31 [ both read off the contingency table ]
=0.0968
Answer:
1) A
2) x = 60
Step-by-step explanation:
1) A cuz complementary these two angles add up to be 90 degrees
2) 2x - 30 = 90
2x = 120
x = 60
Answer:
Option D is the Answer
Step-by-step explanation:
Given : Benni wants to divide 48.6 by 0.7.
To find : In order to estimate the quotient, which is the best expression to use?
Solution :
In order to estimate i.e. an approximate calculation we round the numbers,
48.6 as tenth place is > 5 then it round completely
0.7 as tenth place is > 5 then it round completely
So the estimated expression is given by,
Therefore, option D is correct.
Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
Answer: y=4x-2
Step-by-step explanation:
Since you are looking for y-intercept, the point has to be on the vertical line and the slope is 4 so it has to go up 4 to the right 1
